a mean of 36.8° and a standard
deviation of 0.62°. If 19 people are randomly selected, find the probability that the sample mean
body temperature will be between 36.5° and 37.10?

The area of a rectangular garden in square feet can be represented by z² - 10z +21. The length is z - 7 feet. You have been hired to fertilize the

garden. Recall that the area of the garden is z² - 10z +21. If z = 20 and the fertilizer costs $0.27 per square foot, how much it cost to fertilize

the garden?

Answer:

$ 59.67

Step-by-step explanation:

The area of a rectangular garden in square feet can be represented by z² - 10z +21 square feet

If z = 20

Therefore:

The area of the rectangular garden is:

20² - 10 × 20 + 21

400 - 200 + 21

= 221 square feet

The fertilizer costs $0.27 per square foot, how much it cost to fertilize

the garden?

The cost of fertilize the garden is calculated as:

1 square feet = $0.27

221 square feet = x

Cross Multiply

221 square feet × $0.27

=$ 59.67

Answer:

however it works for you along as you get the right answer

Step-by-step explanation:

Answer:

Yeah you will most likely get the same answer

Step-by-step explanation:

as long as you don't mix up (for this example of course) the service call fee (which is the constant) and the fee for each hour of labor (the coefficient of the variable), you are good

Answer:

21

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope this helped, and please mark as brainliest! <3

The given time series data is represented by the pairs (t, y(t)): (1, 6), (2, 11), (3, 9), (4, 14), and (5, 15).

The time series data provided consists of values of the dependent variable y at different time points t. In this case, we have the values of y at time points 1, 2, 3, 4, and 5. The corresponding values of y are 6, 11, 9, 14, and 15, respectively.

Time series data is commonly used in various fields, such as economics, finance, and engineering, to analyze patterns and trends over time. By examining the values in the given time series, one can identify any trends, seasonality, or other patterns that may be present in the data.

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Answer:

Step-by-step explanation:

Answer:

130/100 H  and (3/10 + 1) H

Step-by-step explanation:

Hope this helps!

Answer:

-3

Step-by-step explanation:

parallel lines are congruent which means that they equal the same thing

Answer:

5. 18 that is what i think the answers are

6. 13.75

5 2 11 8 35 32

hello i know its wrong but lol. i tried to help.

#x

Angle 1

Angle 2

Answer:

A)  x = 44

B)  m∠1 = 118°

    m∠2 = 62°

Step-by-step explanation:

Part A

Angles on a straight line sum to 180°

⇒ (2x + 30) + 62 = 180

⇒ 2x + 30 + 62 = 180

⇒ 2x + 92 = 180

⇒ 2x = 88

⇒ x = 44

Part B

Vertical Angle Theorem:  The opposite vertical angles of two straight intersecting lines are congruent.

⇒ m∠1 = (2x + 30)

Substituting the found value of x:

⇒ m∠1 = 2(44) + 30

⇒ m∠1 = 88 + 30

⇒ m∠1 = 118°

Using the Vertical Angle Theorem:

⇒ m∠2 = 62°

Answer:

36

Step-by-step explanation:

Use the counting principle.

2 * 3 * 6 = 36

Answer: 36

Answer: 30 outfits

Step-by-step explanation:

2 x 5 x 3 =30

Answer:

h(x)=6^x/3 is what I got hope I could help

Step-by-step explanation:

[tex]57.6 - 41.9 = 5.7[/tex]

The y-intercept is n intercept is a point on the y-axis, through which the slope of the line passes and the y-intercept of the given equation is 38,000.

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

The given equation is y=700x+38,000 to predict his annual salary, y, after x years.

In the given equation, y-intercept is 38,000.

Therefore, the y-intercept is n intercept is a point on the y-axis, through which the slope of the line passes and the y-intercept of the given equation is 38,000.

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Answer:

60°

Step-by-step explanation:

∠B=(240-120)/2=120/2=60°

Answer:

Option D: P + 42 = 91

Step-by-step explanation:

Plates collected in February = 42

Total Plates collected = 91

Plates in February + Plates in March = total plates

42 + P = 91 or

P + 42 = 91

Answer:

x=12

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + b^2 = 13^2

25 + b^2 = 169

b^2= 144

b=12 Therefore,

x=12

To show that E(Xn) = Ek=p-k, we can use the concept of conditional expectation and the law of total expectation.

Let's define X as the number of flips required to obtain a run of n consecutive heads.

We can express X as the sum of two random variables: the number of flips required to obtain the first head (H) and the number of additional flips required to obtain a run of n-1 consecutive heads (Xn-1).

We can write the equation as:

X = H + Xn-1

Taking the expectation on both sides, we have:

E(X) = E(H + Xn-1)

Using the linearity of expectation, we can rewrite this as:

E(X) = E(H) + E(Xn-1)

The expected number of flips required to obtain the first head is simply the reciprocal of the probability of getting heads on a single flip, which is 1/p.

So, E(H) = 1/p.

Next, let's consider the expectation of Xn-1. Since Xn-1 represents the number of additional flips required to obtain a run of n-1 consecutive heads, it is equivalent to Xn but with a reduced value of n.

Using the law of total expectation, we can express E(Xn-1) as a conditional expectation:

E(Xn-1) = E(E(Xn-1 | Xn-1 > 1))

In other words, the expected value of Xn-1 can be obtained by conditioning on the event that the first flip is not a head.

Since the first flip is not a head, we need to start over and obtain a new run of n consecutive heads.

Therefore, the expectation of Xn-1 conditioned on Xn-1 > 1 is equal to E(Xn).

Putting it all together, we have:

E(X) = E(H) + E(Xn-1)

    = 1/p + E(Xn)

Simplifying further, we get:

E(X) = 1/p + E(Xn)

Now, notice that E(X) is equal to E(Xn) when n = 1.

Therefore, we can write:

E(X) = 1/p + E(X)  (since E(X1) = E(X))

Solving for E(X), we find:

E(X) = 1/p

Finally, let's substitute k = n-1 into the expression:

E(Xn) = 1/p

Since k = n-1, we have:

E(Xn) = 1/p = Ek=p-k

Therefore, we have shown that E(Xn) = Ek=p-k.

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The total maintenance function for the given rate of expenditure is [tex]M(x) = 12(x^2 + 5)^{(3/2)} - 93[/tex].

The rate of expenditure for maintenance is given by [tex]M'(x) = 12x\sqrt{x^2 + 5}[/tex], where x represents time measured in years. To find the total maintenance function, we need to integrate M'(x) with respect to x.

Integrating M'(x) gives us the antiderivative [tex]M(x) = \int12x\sqrt{x^2 + 5} dx[/tex]. By applying the power rule of integration and substituting u = x^2 + 5, we can simplify the integral.

After simplification, we obtain [tex]M(x) = 4(x^2 + 5)^{(3/2)} - 93[/tex]. Therefore, the total maintenance function is [tex]M(x) = 12(x^2 + 5)^{(3/2)} - 93[/tex].

Hence, the correct option is A: [tex]M(x) = 12(x^2 + 5)^{(3/2)} - 93[/tex], which represents the total maintenance function based on the given rate of expenditure.

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Answer:

1800°

Step-by-step explanation:

(12-2)x180 = 1800

Answer:

1/2

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

y = kx where 'k' is the constant of proportionality

24 = 2 x 12

36 = 3 x 12

48 = 4 x 12

60 = 5 x 12

There are 6 possible outcomes:P(HHH) + P(HHT) + P(HTH) + P(THH) + P(HTT) + P(THT) = 7/8

a) No heads: 0.125

b) Exactly 2 tails: 0.375

c) At least 2 heads: 0.5

d) At most 2 tails: 0.875.

Given that three coins are tossed, we need to draw a Tree-diagram to show the possible outcomes and then find the sample space for this event.

Afterward, we need to find the probability of getting:

a) no heads

b) exactly 2 tails

c) at least 2 heads

d) at most 2 tails

Tree-diagram:

It is a tree diagram representing the tossing of three coins to show all possible outcomes.Sample space:

It is the set of all possible outcomes.

The sample space for this event is: {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

a) No heads are (TTT) and the probability of getting no head is:

P(TTT) = 1/8

= 0.125

b) Exactly two tails are (HHT, HTH, THH) and the probability of getting exactly 2 tails is:

P(HHT) + P(HTH) + P(THH) = 3/8

= 0.375

c) At least 2 heads means getting 2 heads or 3 heads. There are 4 possible outcomes:P(HHH) + P(HHT) + P(HTH) + P(THH) = 1/2 = 0.5d)

At most 2 tails mean getting 0 tails or 1 tail.

There are 6 possible outcomes:P(HHH) + P(HHT) + P(HTH) + P(THH) + P(HTT) + P(THT) = 7/8

= 0.875

Hence, the answers are:

a) No heads: 0.125

b) Exactly 2 tails: 0.375

c) At least 2 heads: 0.5

d) At most 2 tails: 0.875.

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Answer:

70

Step-by-step explanation:

The slope is down 1 over 1.5, so that means Start with the slope formula

m=

(y2 - y1)

(x2 - x1)

Substitute point values in the formula

m=

(140 - 280)

(2 - 4)

Simplify each side of the equation

m=

(140 - 280)

(2 - 4)

=

-140

-2

Solve for slope (m)

m= 70

Booommmm, Im proud of this lol, hope it helps <3

f: A → B and g: B → A are functions such that f∘g=idB. It is true that g is injective and f is surjective.

Let y1, y2 ∈ B such that g(y1) = g(y2).

We need to show that y1 = y2.

To do this, we use the following facts;

f(g(y1)) = y1 (since f∘g=idB).

f(g(y2)) = y2 (since f∘g=idB).

Now, f(g(y1)) = f(g(y2)).

Since f is a function, g(y1) = g(y2) ⟹ f(g(y1)) = f(g(y2)).

So, we have y1 = y2 as required. Therefore, g is injective.

Let b ∈ B be arbitrary. We need to show that there exists an element a ∈ A such that f(a) = b.

Since f∘g=idB, we know that for any element y ∈ B,f(g(y)) = y.

Now, we can use b ∈ B to obtain the element g(b) ∈ A.

Then, f(g(b)) = b as required. Therefore, f is surjective.

So, the functions f and g satisfy the following properties:

if f: A → B and g: B → A such that f∘g=idB, then g is injective and f is surjective.

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Based on the given data, the hypothesis test results show that there is not enough evidence to conclude that women chat on their phones more than men at the 5% significance level.

For the hypothesis test comparing the chat times of male and female students, we can use a two-sample t-test since we have two independent samples with unequal variances. The null hypothesis (H0) assumes that there is no difference in chat times between men and women, while the alternative hypothesis (Ha) suggests that women chat more than men.

Calculating the test statistic and degrees of freedom using the provided sample data and formulas, we find that the test statistic is approximately 1.03. Comparing this with the critical value at a 5% significance level (t-critical value), we find that it does not fall in the rejection region.

Therefore, we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that women chat on their phones more than men at the 5% significance level.

For the second scenario comparing energy expenditure using conventional and perforated shovels, we would need more information, such as the sample sizes, means, and standard deviations, to perform the relevant hypothesis test. The provided data alone does not allow us to conduct the hypothesis test.

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Answer:

The answer is B

Step-by-step explanation:

Each smaller rectangle is being multiplied by a so 2a + 3a + 4a would give you the total area of the entire large rectangle.

Answer:

A. Jan 1

Dr cash $800,000

Cr Bonds payable $800,000

B. Dr Interest expense $72,000

Cr Interest Payable $72,000

Step-by-step explanation:

Preparation of the entries to record the issuance of the bonds and the first annual interest accrual on December 31

A. Preparation of the entries to record the issuance of the bonds

Jan 1

Dr cash $800,000

Cr Bonds payable $800,000

(Being to record issuance of the bonds)

B. Preparation of the Journal entry to record first annual interest accrual on December 31

Dec 31

Dr Interest expense $72,000

Cr Interest Payable $72,000

($800,000*9%)

(Being to record the first year interest expense accrued)

The required value of Ru is 7.71

Given that Romberg integration for approximating `∫(x) dx` gives `R21 = 6` and `R22 = 6.28`. Then, we need to find `Ru`.

We know that Romberg integration formula is given by:

R_kj = (4^j * R_(k+1),j-1 - R_k,j-1) / (4^j - 1), where, `R_kj` denotes the approximation of integral using `2^(k-1) x 2^(j-1)` points and `R_k,j-1` denotes the approximation of integral using `2^(k-1) x 2^(j-2)` points.

Now, we are given that:

`R21 = 6` and `R22 = 6.28`, we need to calculate `Ru`.

For this, let's use the Romberg integration formula as follows:

`R31 = (4^1 * R22 - R21) / (4^1 - 1)`

Substituting the given values, we get:

`R31 = (4 * 6.28 - 6) / 3 = 7.56 / 3 = 2.52`

Similarly,`R32 = (4^1 * R32 - R31) / (4^1 - 1)`

Substituting the given values, we get:

`R32 = (4 * 6.28 - 2.52) / 3 = 23.12 / 3 = 7.71`

Therefore, `Ru = R32 = 7.71`.Hence, the required value of `Ru` is `7.71`.

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